Analyses of π[sup ±]-[sup 40]Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation

2011 ◽  
Author(s):  
Zuhair F. Shehadeh ◽  
Jeremy S. Scott ◽  
F. Bary Malik ◽  
Ali Al-Hajry ◽  
Ahmad Umar ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Inverse Scattering ◽  
Scattering Theory ◽  
Gordon Equation ◽  
Resonance Region ◽  
Scattering Data ◽  
Delta Resonance ◽  
Klein Gordon ◽  
Inverse Scattering Theory ◽  
Klein Gordon Equation

ANALYSES OF PION-40Ca ELASTIC SCATTERING DATA USING THE KLEIN–GORDON EQUATION

2009 ◽  
Vol 18 (07) ◽  
pp. 1615-1627 ◽  
Author(s):  
ZUHAIR F. SHEHADEH
Keyword(s):  
Elastic Scattering ◽  
Gordon Equation ◽  
Large Angle ◽  
Surface Region ◽  
Scattering Data ◽  
Incident Pion ◽  
Angle Data ◽  
Approximate Form ◽  
Klein Gordon ◽  
Klein Gordon Equation

The elastic scattering data for incident pion energies of 130, 163.3, 180, and 230 MeV on 40 Ca have been analyzed using the full Klein–Gordon equation (KGE), as opposed to its approximate form which renders it to the format of a Schrödinger equation with an energy-dependent potential (RSE). Calculated angular distributions, using KGE and RSE, for all four cases are nearly the same up to about 70° but differ significantly at larger angles. To fit the large-angle data of 163.3 MeV, the nature of the old potential determined by using RSE needs to be revised. The new potentials in four cases are presented and they are compatible with those determined from the inverse scattering theory at a fixed energy in the surface region.

Elastic scattering for π+p using the Klein-Gordon equation

2021 ◽  
Author(s):  
R. Arceo ◽  
L. M. Sandoval ◽  
Omar Pedraza ◽  
L. A. Lopez ◽  
G. Leon-Soto ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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